65 citations · 68 across the 5 of their papers we have counts for
5 papers
The pointwise stabilities of piecewise linear finite element method on non-obtuse tetrahedral meshes of nonconvex polyhedra
Huadong Gao, Weifeng Qiu
Let be a Lipschitz polyhedral (can be nonconvex) domain in , and denotes the finite element space of continuous piecewise linear polynomials. On non-obt…
A linearized energy preserving finite element method for the dynamical incompressible magnetohydrodynamics equations
Huadong Gao, Weifeng Qiu
We present and analyze a linearized finite element method (FEM) for the dynamical incompressible magnetohydrodynamics (MHD) equations. The finite element approximation is based on…
Error analysis of mixed finite element methods for nonlinear parabolic equations
Huadong Gao, Weifeng Qiu
In this paper, we prove a discrete embedding inequality for the Raviart--Thomas mixed finite element methods for second order elliptic equations, which is analogous to the Sobolev…
Analysis of linearized Galerkin-mixed FEMs for the time-dependent Ginzburg--Landau equations of superconductivity
Huadong Gao, Weiwei Sun
A linearized backward Euler Galerkin-mixed finite element method is investigated for the time-dependent Ginzburg--Landau (TDGL) equations under the Lorentz gauge. By introducing th…
Unconditionally optimal error estimates of a Crank--Nicolson Galerkin method for the nonlinear thermistor equations
Buyang Li, Weiwei Sun
This paper focuses on unconditionally optimal error analysis of an uncoupled and linearized Crank--Nicolson Galerkin finite element method for the time-dependent nonlinear thermist…